A spectral iterative method for the computation of effective properties of elastically inhomogeneous polycrystals

Saswata Bhattacharyya, Tae Wook Heo, Kunok Chang, Long Qing Chen

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We report an efficient phase field formalism to compute the stress distribution in polycrystalline materials with arbitrary elastic inhomogeneity and anisotropy The dependence of elastic stiffness tensor on grain orientation is taken into account, and the elastic equilibrium equation is solved using a spectral iterative perturbation method. We discuss its applications to computing residual stress distribution in systems containing arbitrarily shaped cavities and cracks (with zero elastic modulus) and to determining the effective elastic properties of polycrystals and multilayered composites.

Original languageEnglish (US)
Pages (from-to)726-738
Number of pages13
JournalCommunications in Computational Physics
Volume11
Issue number3
DOIs
StatePublished - Mar 2012

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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